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Find the points of discontinuity of the function: `f(x)=1/(x^4+x^2+1)`

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BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Find the points of discontinuity of the following function f(x)=1/(2...

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  2. Find the points of discontinuity of the following function f(x)=x^2...

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  3. Find the points of discontinuity of the function: f(x)=1/(x^4+x^2+1)

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  4. Find the points of discontinuity of the function: f(x)=1/(1-e^((x-1)/(...

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  5. f(x)=[(cos x)cot^2x!=0e^(-1//2)\ if\ x=0 find whether the f(x) is cont...

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  6. The function f(x) = {x+asqrt2 sinx, 0<=x<=pi/4 and 2x cotx+b, pi/4<=x...

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  7. Sketch the graph of the following function f(x)=|ln|x||

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  8. The function f:""R""~""{0}vecR given by f(x)=1/x-2/(e^(2x)-1) ca...

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  9. Let f(x)={(1+3x)^(1/x),x!=0e^3,x=0dotD i s c u s st h econ t inu i t y...

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  10. Which of the following functions is not continuous AAx in R ? sqrt(2...

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  11. Discuss the continuity of f(x)={(x^4-5x^2+4)/(|(x-1)(x-2)|),x!=1,2, 6...

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  12. Given f(x)=1/(x-1) . Find the points of discontinuity of the compos...

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  13. lim(x->0)f(x)=(x^3-x)/(x^2-1)

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  14. What is the range of the function f(x)=[|x-1|]/[x-1]

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  15. f(x)={|x+1|;xlt=0x ;x >0 and g(x)={|x|+1;xlt=1-|x-2|;x >1 Draw its g...

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  16. Show that the function f(x)=(x-a)^2(x-b)^2+x takes the value (a+b)/2 f...

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  17. Suppose that f(x) is continuous in [0, 1] and f(0) = 0, f(1) = 0. Prov...

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  18. Let f be a continuous function defined onto [0,1] with range [0,1]. Sh...

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  19. Leg f be continuous on the interval [0,1] to R such that f(0)=f(1)dot ...

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  20. Let f:[0,1]vec[0,1] be a continuous function. Then prove that f(x)=x f...

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